Octave 3.8, jcobi/4, as called

Time bar (total: 7.8s)

analyze3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.3s (16.5%)

Memory
15.5MiB live, 1 397.1MiB allocated
Samples
955.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 631.0ms
ival-mult: 278.0ms (44% of total)
ival-div: 247.0ms (39.1% of total)
ival-sub: 57.0ms (9% of total)
ival->: 32.0ms (5.1% of total)
exact: 14.0ms (2.2% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess386.0ms (5%)

Memory
10.2MiB live, 447.2MiB allocated
Algorithm
egg-herbie
Rules
7 204×lower-fma.f64
7 204×lower-fma.f32
5 094×lower-*.f32
5 086×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
15543
235026
3286126
4763626
01025
01721
14519
218713
3106013
4364911
5529211
6732211
0803610
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
Symmetry

(abs i)

explain198.0ms (2.5%)

Memory
-46.8MiB live, 342.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1990-1(6.381912489113506e-79)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
650-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u680
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow136
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow68
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o650
(*.f64 (*.f64 i i) (*.f64 i i))overflow92
(*.f64 i i)overflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))o/o640
(*.f64 (*.f64 i i) (*.f64 i i))overflow92
(*.f64 i i)overflow130
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow64
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n380
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow136
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n270
(*.f64 (*.f64 i i) (*.f64 i i))overflow92
(*.f64 i i)overflow130
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))n/o10
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
Confusion
Predicted +Predicted -
+1981
-057
Precision
1.0
Recall
0.9949748743718593
Confusion?
Predicted +Predicted MaybePredicted -
+19801
-0057
Precision?
1.0
Recall?
0.9949748743718593
Freqs
test
numberfreq
058
1133
265
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 200 to 44 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (53.6% of total)
ival-div: 6.0ms (29.2% of total)
ival-sub: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify300.0ms (3.9%)

Memory
45.1MiB live, 503.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff320
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff1664
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Rules
7 204×lower-fma.f64
7 204×lower-fma.f32
5 094×lower-*.f32
5 086×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
14556
218742
3106042
4364940
5529240
6732240
0803638
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)

localize31.0ms (0.4%)

Memory
8.5MiB live, 87.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) i)
accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy75.4%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy30.7%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
17.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.3% of total)
ival-div: 3.0ms (30.2% of total)
ival-sub: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-25.0MiB live, 14.4MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))>
#<alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 i i) (*.f64 i i))>
#<alt (*.f64 #s(literal 2 binary64) i)>
Outputs
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms
i
@inf
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms
i
@0
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@inf
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@inf
(* (* 2 i) (* 2 i))

rewrite276.0ms (3.5%)

Memory
-8.9MiB live, 476.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 018×lower-*.f32
5 010×lower-*.f64
4 240×lower-/.f32
4 236×lower-/.f64
3 978×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17544
265332
0874030
Stop Event
iter limit
node limit
iter limit
Counts
6 → 665
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))) (log.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (*.f64 i #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -1/2 binary64)) (*.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (*.f64 i (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64))) (*.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (*.f64 i i))
(/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) i)
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(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i)))
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i))
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i)))
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i)
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify392.0ms (5%)

Memory
30.4MiB live, 621.2MiB allocated
Algorithm
egg-herbie
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
3 874×lower-*.f64
3 874×lower-*.f32
1 628×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
Outputs
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))

eval141.0ms (1.8%)

Memory
14.3MiB live, 156.5MiB allocated
Compiler

Compiled 23 299 to 1 900 computations (91.8% saved)

prune116.0ms (1.5%)

Memory
-10.0MiB live, 242.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New8497856
Fresh000
Picked101
Done000
Total8507857
Accuracy
100.0%
Counts
857 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
47.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
99.8%
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.6%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 130 to 90 computations (30.8% saved)

simplify334.0ms (4.3%)

Memory
-6.7MiB live, 422.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
cost-diff0
(*.f64 i i)
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
cost-diff0
(*.f64 i #s(literal -1/4 binary64))
cost-diff0
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
cost-diff0
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
cost-diff768
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
Rules
9 990×lower-fma.f32
9 986×lower-fma.f64
2 364×lower--.f32
2 362×lower--.f64
2 278×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022103
037103
163103
2104103
3172103
4265103
5368103
6592103
71027101
81729101
93421101
105470101
117634101
08134100
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
i
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
i
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1 binary64) (+.f64 i i)))
#s(literal 1/4 binary64)
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 i i))
i
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 i (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 i i))))
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 i i)))
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 i i))
#s(literal 1 binary64)
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
i
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i

localize75.0ms (1%)

Memory
3.1MiB live, 149.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.5%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy99.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
accuracy100.0%
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy100.0%
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
Samples
48.0ms256×0valid
Compiler

Compiled 112 to 25 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (47.6% of total)
ival-div: 6.0ms (26% of total)
ival-add: 4.0ms (17.3% of total)
ival-sub: 1.0ms (4.3% of total)
exact: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-14.7MiB live, 23.2MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))>
#<alt (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))>
#<alt (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))>
#<alt (*.f64 i (*.f64 i #s(literal -1/4 binary64)))>
#<alt (*.f64 i #s(literal -1/4 binary64))>
#<alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))>
#<alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))>
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))>
#<alt (*.f64 i i)>
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))>
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))>
#<alt (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt -1/4>
#<alt (- (* -1/2 i) 1/4)>
#<alt (- (* i (- (* -1 i) 1/2)) 1/4)>
#<alt (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)>
#<alt (/ 1/8 i)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 i))) i)>
#<alt (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)>
#<alt (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)>
#<alt (/ 1/8 i)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 i))) i)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))>
#<alt -1>
#<alt (- (* 2 i) 1)>
#<alt (- (* 2 i) 1)>
#<alt (- (* 2 i) 1)>
#<alt (* 2 i)>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (* -2 i)))>
#<alt (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))>
#<alt (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))>
#<alt (* 1/2 i)>
#<alt (* i (- 1/2 (* 1/4 (/ 1 i))))>
#<alt (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))>
#<alt (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))>
#<alt (* 1/2 i)>
#<alt (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))>
#<alt (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))>
#<alt (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt i>
#<alt (* i (+ 1 (* -2 i)))>
#<alt (* i (+ 1 (* i (- (* 4 i) 2))))>
#<alt (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 i)))>
#<alt (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))>
#<alt (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 i)))>
#<alt (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))>
#<alt (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
(/ 1/4 (+ (* i 2) -1))
1.0ms
i
@-inf
(* i (* i (- -1/4 (* i i))))
1.0ms
i
@0
(* (/ 1/4 (+ (* i 2) -1)) (* i (/ i (+ (* i 2) 1))))
0.0ms
i
@inf
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@inf
(* i (* i -1/4))

rewrite454.0ms (5.8%)

Memory
15.4MiB live, 765.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 012×lower-fma.f32
6 008×lower-fma.f64
5 128×lower-*.f32
5 114×lower-*.f64
4 402×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02283
03783
113281
287181
0865979
Stop Event
iter limit
node limit
iter limit
Counts
13 → 850
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 i i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 i #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 i #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)))) (*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
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(*.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 i (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 i (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))

simplify834.0ms (10.7%)

Memory
10.5MiB live, 765.7MiB allocated
Algorithm
egg-herbie
Rules
18 324×lower-fma.f64
18 324×lower-fma.f32
4 274×lower-*.f64
4 274×lower-*.f32
3 564×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751061
14731045
212071008
33441988
47954988
08030948
Stop Event
iter limit
node limit
Counts
156 → 155
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
-1/4
(- (* -1/2 i) 1/4)
(- (* i (- (* -1 i) 1/2)) 1/4)
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(/ 1/8 i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
-1
(- (* 2 i) 1)
(- (* 2 i) 1)
(- (* 2 i) 1)
(* 2 i)
(* i (- 2 (/ 1 i)))
(* i (- 2 (/ 1 i)))
(* i (- 2 (/ 1 i)))
(* 2 i)
(* -1 (* i (- (/ 1 i) 2)))
(* -1 (* i (- (/ 1 i) 2)))
(* -1 (* i (- (/ 1 i) 2)))
(pow i 2)
(* (pow i 2) (+ 1 (* -2 i)))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(* 1/2 i)
(* i (- 1/2 (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(* 1/2 i)
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
i
(* i (+ 1 (* -2 i)))
(* i (+ 1 (* i (- (* 4 i) 2))))
(* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
1/2
(- 1/2 (* 1/4 (/ 1 i)))
(- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))
(- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))
1/2
(- 1/2 (* 1/4 (/ 1 i)))
(+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
-1/4
#s(literal -1/4 binary64)
(- (* -1/2 i) 1/4)
(fma.f64 i #s(literal -1/2 binary64) #s(literal -1/4 binary64))
(- (* i (- (* -1 i) 1/2)) 1/4)
(fma.f64 i (-.f64 #s(literal -1/2 binary64) i) #s(literal -1/4 binary64))
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1/4 binary64))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i))) i)
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/16 (/ 1 i))) i)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) i)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) i)) i)
-1
#s(literal -1 binary64)
(- (* 2 i) 1)
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(- (* 2 i) 1)
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(- (* 2 i) 1)
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* i (- 2 (/ 1 i)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* i (- 2 (/ 1 i)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* i (- 2 (/ 1 i)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* -1 (* i (- (/ 1 i) 2)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* -1 (* i (- (/ 1 i) 2)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(* -1 (* i (- (/ 1 i) 2)))
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* -2 i)))
(*.f64 i (fma.f64 i (*.f64 i #s(literal -2 binary64)) i))
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i))
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) i))
(* 1/2 i)
(*.f64 i #s(literal 1/2 binary64))
(* i (- 1/2 (* 1/4 (/ 1 i))))
(fma.f64 i #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))
(+.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) i)))
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))
(fma.f64 i #s(literal 1/2 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)))
(* 1/2 i)
(*.f64 i #s(literal 1/2 binary64))
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))
(fma.f64 i #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))
(+.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) i)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))
(fma.f64 i #s(literal 1/2 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i))
(* -1 (pow i 4))
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* i (- (* -1 (pow i 2)) 1/4))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(*.f64 i (*.f64 i (neg.f64 i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 3))
(*.f64 i (*.f64 i (neg.f64 i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 i (neg.f64 i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
i
(* i (+ 1 (* -2 i)))
(fma.f64 i (*.f64 i #s(literal -2 binary64)) i)
(* i (+ 1 (* i (- (* 4 i) 2))))
(fma.f64 (*.f64 i i) (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i)
(* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))
(fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) i)
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 i)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) i))
(- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i))
(- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)) i))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 i)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) i))
(+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i))
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)) i))

eval492.0ms (6.3%)

Memory
3.5MiB live, 190.1MiB allocated
Compiler

Compiled 24 990 to 2 638 computations (89.4% saved)

prune187.0ms (2.4%)

Memory
0.2MiB live, 178.7MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 03111 032
Fresh022
Picked145
Done000
Total1 03271 039
Accuracy
100.0%
Counts
1 039 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
47.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.6%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 63 to 42 computations (33.3% saved)

simplify90.0ms (1.2%)

Memory
-0.3MiB live, 38.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
cost-diff0
(*.f64 i #s(literal -1/4 binary64))
cost-diff640
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
cost-diff0
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 i i))
cost-diff0
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Rules
1 096×lower-fma.f32
1 092×lower-fma.f64
824×lower-*.f32
814×lower-*.f64
368×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01994
03388
16288
211084
318084
424384
531484
652384
781384
8124584
9164684
10225684
11239384
12244584
13247884
14248384
0248384
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(*.f64 i #s(literal -1/4 binary64))
i
#s(literal -1/4 binary64)
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
(neg.f64 i)
(*.f64 i (*.f64 i i))
(*.f64 i i)
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(*.f64 i #s(literal -1/4 binary64))
i
#s(literal -1/4 binary64)
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
(neg.f64 (*.f64 (*.f64 i i) (*.f64 i i)))
(neg.f64 i)
(*.f64 i (*.f64 i i))
(*.f64 i i)

localize130.0ms (1.7%)

Memory
3.2MiB live, 121.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 i #s(literal -1/4 binary64))
accuracy100.0%
(neg.f64 i)
accuracy99.9%
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
accuracy99.9%
(*.f64 i (*.f64 i i))
accuracy100.0%
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy100.0%
(*.f64 i i)
accuracy99.7%
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
accuracy75.4%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy100.0%
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.4%
(/.f64 #s(literal 4 binary64) (*.f64 i i))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Samples
78.0ms256×0valid
Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 50.0ms (83.1% of total)
ival-div: 5.0ms (8.3% of total)
ival-add: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-24.6MiB live, 13.1MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))>
#<alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 i i))>
#<alt (*.f64 i i)>
#<alt (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))>
#<alt (*.f64 (*.f64 i i) #s(literal 1/4 binary64))>
#<alt (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))>
#<alt (*.f64 i #s(literal -1/4 binary64))>
#<alt (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))>
#<alt (neg.f64 i)>
#<alt (*.f64 i (*.f64 i i))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
i
@0
(+ (* (* i -1/4) i) (* (neg i) (* i (* i i))))
0.0ms
i
@inf
(* (neg i) (* i (* i i)))
0.0ms
i
@0
(/ 1 (- 16 (/ 4 (* i i))))
0.0ms
i
@0
(* i (* i i))
0.0ms
i
@-inf
(* i (* i i))

rewrite369.0ms (4.7%)

Memory
6.6MiB live, 640.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 368×lower-fma.f32
9 364×lower-fma.f64
5 396×lower-*.f32
5 386×lower-*.f64
3 338×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01978
03372
112472
285168
0855366
Stop Event
iter limit
node limit
iter limit
Counts
12 → 505
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
(neg.f64 i)
(*.f64 i (*.f64 i i))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64)) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64))) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 16777216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))))) (+.f64 #s(literal 65536 binary64) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (-.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal 256 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (-.f64 #s(literal 65536 binary64) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))) (-.f64 #s(literal 256 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i))))
(pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 256 binary64))) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))))) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))))))))
(*.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))))) (*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/16 binary64))))))))
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(*.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 i i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal 1/4 binary64)))
(neg.f64 (*.f64 i #s(literal 1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 i))
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 (neg.f64 i) #s(literal 1/4 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 0 binary64)) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(fma.f64 (*.f64 i (*.f64 i i)) #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(/.f64 (*.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))) i)
(*.f64 i (neg.f64 (*.f64 i (*.f64 i i))))
(*.f64 (*.f64 i i) (neg.f64 (*.f64 i i)))
(*.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 i))
(*.f64 (neg.f64 (*.f64 i i)) (*.f64 i i))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (*.f64 (pow.f64 i #s(literal 3/2 binary64)) (neg.f64 i)))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) i)
(*.f64 (*.f64 (neg.f64 i) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(-.f64 #s(literal 0 binary64) i)
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (*.f64 i (*.f64 i i)) (fma.f64 i i #s(literal 0 binary64))))
(neg.f64 i)
(/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (*.f64 i (*.f64 i i)))))
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 i i)) i)
(/.f64 (neg.f64 (*.f64 i (*.f64 i i))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 i (*.f64 i i))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(*.f64 i #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) i)
(*.f64 (neg.f64 (*.f64 i i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 3 binary64)))
(pow.f64 i #s(literal 3 binary64))
(pow.f64 (*.f64 i i) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 3 binary64))
(*.f64 i (*.f64 i i))
(*.f64 (*.f64 i i) i)
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))

simplify520.0ms (6.7%)

Memory
9.2MiB live, 765.6MiB allocated
Algorithm
egg-herbie
Rules
16 986×lower-fma.f64
16 986×lower-fma.f32
3 502×lower-*.f64
3 502×lower-*.f32
2 170×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066853
1143853
2348806
3825798
41806798
53419798
66639798
08368783
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))
(pow i 3)
(*.f64 i (*.f64 i i))

eval100.0ms (1.3%)

Memory
-4.6MiB live, 271.9MiB allocated
Compiler

Compiled 16 452 to 1 567 computations (90.5% saved)

prune73.0ms (0.9%)

Memory
23.6MiB live, 264.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New7570757
Fresh000
Picked033
Done044
Total7577764
Accuracy
100.0%
Counts
764 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
74.6%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
47.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
52.9%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
52.6%
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
48.2%
#s(literal 1/16 binary64)
Compiler

Compiled 160 to 82 computations (48.8% saved)

regimes8.0ms (0.1%)

Memory
-19.6MiB live, 20.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
Calls

2 calls:

4.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.8%1i
99.8%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Calls

2 calls:

3.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%1i
99.1%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes6.0ms (0.1%)

Memory
-23.7MiB live, 15.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
Outputs
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

2 calls:

3.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%2i
73.6%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.4%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
Outputs
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
Outputs
#s(literal 1/16 binary64)
Calls

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
48.2%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
48.2%1i
Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch15.0ms (0.2%)

Memory
-7.7MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0022865615240716952
7.974455352620046
Samples
7.0ms128×0valid
Compiler

Compiled 221 to 142 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (60.7% of total)
ival-sub: 1.0ms (20.2% of total)
ival-div: 1.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0022865615240716952
7.974455352620046
Compiler

Compiled 189 to 126 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0022865615240716952
7.974455352620046
Compiler

Compiled 141 to 94 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0022865615240716952
7.974455352620046
Compiler

Compiled 109 to 78 computations (28.4% saved)

simplify9.0ms (0.1%)

Memory
-18.1MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
18×+-commutative_binary64
16×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03793
15993
27793
39493
410193
510393
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness869.0ms (11.2%)

Memory
6.7MiB live, 485.7MiB allocated
Rules
15 408×lower-fma.f64
15 408×lower-fma.f32
6 012×lower-fma.f32
6 008×lower-fma.f64
5 128×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050401
196401
2220400
3504396
41045396
52097396
64072396
76268396
08056384
02283
03783
113281
287181
0865979
01066
01750
17544
265332
0874030
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 167 to 86 computations (48.5% saved)

preprocess52.0ms (0.7%)

Memory
5.8MiB live, 125.6MiB allocated
Remove

(abs i)

Compiler

Compiled 272 to 116 computations (57.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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